{ "id": "2501.13738", "version": "v1", "published": "2025-01-23T15:15:57.000Z", "updated": "2025-01-23T15:15:57.000Z", "title": "Asymptotics of Transversality in Periodic Curves of Quadratic Rational Maps", "authors": [ "Jan Kiwi" ], "categories": [ "math.DS" ], "abstract": "We compute the Euler characteristic of the moduli space of quadratic rational maps with a periodic marked critical point of a given period.", "revisions": [ { "version": "v1", "updated": "2025-01-23T15:15:57.000Z" } ], "analyses": { "keywords": [ "quadratic rational maps", "periodic curves", "asymptotics", "transversality", "euler characteristic" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }